What is the Least Common Multiple of 61397 and 61401?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 61397 and 61401 is 3769837197.
LCM(61397,61401) = 3769837197
Least Common Multiple of 61397 and 61401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61397 and 61401, than apply into the LCM equation.
GCF(61397,61401) = 1
LCM(61397,61401) = ( 61397 × 61401) / 1
LCM(61397,61401) = 3769837197 / 1
LCM(61397,61401) = 3769837197
Least Common Multiple (LCM) of 61397 and 61401 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61397 and 61401. First we will calculate the prime factors of 61397 and 61401.
Prime Factorization of 61397
Prime factors of 61397 are 7, 179. Prime factorization of 61397 in exponential form is:
61397 = 73 × 1791
Prime Factorization of 61401
Prime factors of 61401 are 3, 97, 211. Prime factorization of 61401 in exponential form is:
61401 = 31 × 971 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 61397 and 61401.
LCM(61397,61401) = 73 × 1791 × 31 × 971 × 2111
LCM(61397,61401) = 3769837197
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